Analytic properties of the Landau gauge gluon and quark propagators

Physics – High Energy Physics – High Energy Physics - Phenomenology

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42 pages, 16 figures, revtex; version to be published in Phys Rev D

Scientific paper

10.1103/PhysRevD.70.014014

We explore the analytic structure of the gluon and quark propagators of Landau gauge QCD from numerical solutions of the coupled system of renormalized Dyson--Schwinger equations and from fits to lattice data. We find sizable negative norm contributions in the transverse gluon propagator indicating the absence of the transverse gluon from the physical spectrum. A simple analytic structure for the gluon propagator is proposed. For the quark propagator we find evidence for a mass-like singularity on the real timelike momentum axis, with a mass of 350 to 500 MeV. Within the employed Green's functions approach we identify a crucial term in the quark-gluon vertex that leads to a positive definite Schwinger function for the quark propagator.

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